Algebra - math word problems - page 332 of 353
Number of problems found: 7043
- Amazon river length
The longest Brazilian river, the Amazon, is ten times longer than the two Czech rivers, Vltava and Berounka. The ratio of the lengths of the Vltava and Berounka is 9:5. At the same time, the length ratio of the Vltava and Morava rivers is 5:4. How many ki - Worker output increase
Two workers work equally efficiently and together can complete a given task in 5 hours. One worker improved his machine, changed his workflow, and increased his output by 40%. How long will it take both workers to complete the given task? - Cashews + beetroots
The lady sells nuts. It has two mixtures of nuts (cashews/beetroots) in a ratio of 2:1 and 1:3 (cashews and peanuts). Determine the ratio to mix both mixtures so that the ratio of cashews/beetroot in the resulting mixture is 1:2. (Please provide a certifi - Aquaman
Aquaman Kebule shopped at Captain Nemo's fishmonger, where the prices of all goods were listed in whole scales. If Kebule bought 2 crayfish, 3 clams, and 1 pike, he would pay 49 scales. If he bought 5 more crayfish, 11 clams, and 1 pike, he would pay 154 - Solution volume
Calculate the volume of 50% KI solution and the volume of 20% KI solution needed to prepare 180 g of 30% KI solution. The solution densities are known: ρ50% = 1.54575 g / cm3, ρ20% = 1.16597 g / cm³. - Two cyclists 2
At the same time, two cyclists left towns A and B at constant speeds. The first one goes from town A to town B, and the second one from town B to town A. At one point during the trip, they met. After they met, the first cyclist arrived at town B in 36 min - Polynomial coefficients
Find all triplets P (x) = a * x² + b * x + c with the integer coefficients a, b, and c to which it applies P (1) - Rent increase
Calculate how much rent should be increased each year to keep pace with annual inflation of 7%. The rent in the first year is €550. Calculate the correct rent for each of the first 5 years so that the real value of the rent remains constant. - Madams
During spring cleaning, ladies were going to wash the windows. Mother takes 2 hours to wash all the windows, the grandmother takes 2 times longer, and Paula washes all the windows in 2 hours. How many hours will you spend washing the windows of this "wome - Middle number puzzle
In the middle between the unknown number and the number 166 is the number a) 164, b) 200, c) 500 d) 1356 What are the unknown numbers? - Crimson Lynx
Captain Emily has a ship, the H. M. S Crimson Lynx. The ship is five furlongs from the dread pirate Umaima and her merciless band of thieves. If her ship hasn't already been hit, Captain Emily has a probability of 3/5 of hitting the pirate ship. If her sh - Water mixing
We have 520 ml of hot water and 640 ml of water at 48 °C. What is the temperature of approximately hot water when the resulting mixture has a temperature of 65 °C? - Three workshops
One workshop can complete the task in 48 days, the second in 30 days, and the third in 20 days. In how many days would the task be completed if all workshops worked? - Positive integers
Find all positive integers x and y for which: 1 / x + 1 / y = 1/4 - House numbering
The residential house has three entrances, numbered even numbers, successively immediately behind. The sum of the two numbers on the outside entrances is 68. Calculate the middle of these three numbers. - Report card
Ivor received grade 5 a total of 4 times at the beginning of the school year. How many times must he now receive grade 1 to achieve grade 2 on the report card? - Social beneficiaries
In a certain community, 52% are SAP beneficiaries, 15% are members of 4Ps, and 8% are both SAP and 4 Ps. If a citizen from the community is an SAP, what is the probability that he is also 4Ps? If that person is not a 4Ps, what is the probability that he i - Sale of a bill of exchange
A businessman bought a bill of exchange 6 months before its maturity. After deducting interest at an annual rate of 10%, he paid €19,000 for it. How much interest was deducted from the face value of the bill? - Deceleration of car
The car has a speed of 60 km/h and, after a 100 m journey speed of 40 km/h. What is the deceleration of a car if we assume that its movement is constantly slowed down? - On the board
A division problem with two positive numbers was written on the board. David noticed that if he increased the dividend by 2 and the divisor by 7, the quotient would not change. By how much should the divisor be increased so that when the dividend is incre
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